A person pushes a 751 N shopping cart full of groceries downthe aisle at the loc

Question

A person pushes a 751 N shopping cart full of groceries downthe aisle at the local store. The person applies a force of 112 Nat an angle of 40.0 degrees below the horizontal. The cart ispushed the full length of a 15.5 m aisle at constant speed. Determine
(a) the work done by the shopper, (b) the work done by gravity, (c) the work done by the normal force of the floor on thecart (d) the work done by various frictional forces during thecart's motion down the aisle. A person pushes a 751 N shopping cart full of groceries downthe aisle at the local store. The person applies a force of 112 Nat an angle of 40.0 degrees below the horizontal. The cart ispushed the full length of a 15.5 m aisle at constant speed. Determine
(a) the work done by the shopper, (b) the work done by gravity, (c) the work done by the normal force of the floor on thecart (d) the work done by various frictional forces during thecart's motion down the aisle.

Explanation / Answer

The horizontal force is Fh= Fcos(40) let s=15.5m We have a) the work done by the shopper W=Fh s = F s cos(40)=112 x 15.5 cos(40)= W=1330 J (b) the work done by gravity, Since gravity force caused no displacement Wg=0 (Hint: horizontalsurface) (c) the work done by the normal force of the floor on thecart since the normal force caused no displacement WN=0 (d) the work done by various frictional forces during thecart's motion down the aisle Wf= f s since Fh = f (Hint: cart moved with constant speed) Wf= W= Fh s = 1330J

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